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3 years ago

For the function h(x) =3x/(x+5)(x-4), solve the equation.

Mathematics

1 answer:

LuckyWell [14K]3 years ago

8 0

Answer:

x = 0

Step-by-step explanation:

To 'solve' means to find the x values that make the equation equal zero, so

0 = (3x)/[(x + 5)(x - 4)

Multiply both sides by the denominator to get rid of the fraction

0[(x + 5)(x - 4)] = [(3x)(x + 5)(x - 4)]/[(x + 5)(x - 4)]

0 = 3x

0 = x (divide both sides by 3)

So x = 0 is the solution for this equation

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What is 4 9/10 expressed as a decimal? Enter your answer in the box.

soldier1979 [14.2K]

Answer:

4.9 is decimal form.

Step-by-step explanation:

4 9/10

Solve :

4 9/10

= 49/10

= 4.9

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3 years ago

Read 2 more answers

Find sin 2a and cot 2a:

geniusboy [140]

Answer:

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}$

Step-by-step explanation:

$\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\$

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}$

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3 years ago

What is the circumstance of the trampoline including its outer edge? Use 3.14 for pie

Lubov Fominskaja [6]

Answer:

c = 43.96

Step-by-step explanation:

First you have to find the diameter of the trampoline which would be 14

Next plug it into the circumference formula c = dπ

c = (14)(3.14)

c = 43.96

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3 years ago

(7x-y=7<br>(x+2y=6 estimate the solution to the system of equations

jolli1 [7]

Multiply the first equation by 2 to then use elimination by adding the 2 equations.

So, 14x-2y=14

+. x+2y=6

Equals 15x=20 so x=20/15=4/3

Plug in to first equation to get y

7(4/3)-y=7

28/3-y=7

28/3-y=21/3

So y=7/3

Plug both x and y into second equation to check

4/3+2(7/3)=

4/3+14/3=18/3=6 it works

So x=4/3, y=7/3

Hope this helps! Have a blessed day!

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3 years ago

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3 years ago

For the function h(x) =3x/(x+5)(x-4), solve the equation.​

For the function h(x) =3x/(x+5)(x-4), solve the equation.